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Literature DB >> 18231840

On the delayed Ross-Macdonald model for malaria transmission.

Shigui Ruan¹, Dongmei Xiao, John C Beier.

Abstract

The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we calculate the basic reproduction number R0 and carry out some sensitivity analysis of R0 on the incubation periods, that is, to study the effect of time delays on the basic reproduction number. It is shown that the basic reproduction number is a decreasing function of both time delays. Thus, prolonging the incubation periods in either humans or mosquitos (via medicine or control measures) could reduce the prevalence of infection.

Entities: Disease Species

Mesh：

Year: 2008 PMID： 18231840 PMCID： PMC2673502 DOI： 10.1007/s11538-007-9292-z

Source DB: PubMed Journal: Bull Math Biol ISSN： 0092-8240 Impact factor: 1.758

37 in total

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2. SEASONALITY, PARASITE DIVERSITY, AND LOCAL EXTINCTIONS IN PLASMODIUM FALCIPARUM MALARIA.

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Journal: Acta Trop Date: 2003-04 Impact factor: 3.112

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Journal: Bull Math Biol Date: 2006-06-20 Impact factor: 1.758

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Authors: Hirofumi Ishikawa; Akira Ishii; Nobuhiko Nagai; Hiroshi Ohmae; Masakazu Harada; Setsuo Suguri; Judson Leafasia
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Review 9. Statics and dynamics of malaria infection in Anopheles mosquitoes.

Authors: David L Smith; F Ellis McKenzie
Journal: Malar J Date: 2004-06-04 Impact factor: 2.979

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23 in total

1. Transmission dynamics for vector-borne diseases in a patchy environment.

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Journal: J Math Biol Date: 2013-06-04 Impact factor: 2.259

2. Parameterization and sensitivity analysis of a complex simulation model for mosquito population dynamics, dengue transmission, and their control.

Authors: Alicia M Ellis; Andres J Garcia; Dana A Focks; Amy C Morrison; Thomas W Scott
Journal: Am J Trop Med Hyg Date: 2011-08 Impact factor: 2.345

On the delayed Ross-Macdonald model for malaria transmission.

1. The global spread of malaria in a future, warmer world.

2. SEASONALITY, PARASITE DIVERSITY, AND LOCAL EXTINCTIONS IN PLASMODIUM FALCIPARUM MALARIA.

3. A malaria model tested in the African savannah.

4. Theoretical studies of the effects of heterogeneity in the parasite population on the transmission dynamics of malaria.

Review 5. Malaria parasite development in mosquitoes.

6. Low recovery rates stabilize malaria endemicity in areas of low transmission in coastal Kenya.

7. On the population dynamics of the malaria vector.

8. A mathematical model for the transmission of Plasmodium vivax malaria.

Review 9. Statics and dynamics of malaria infection in Anopheles mosquitoes.

10. A weather-driven model of malaria transmission.

1. Transmission dynamics for vector-borne diseases in a patchy environment.

2. Parameterization and sensitivity analysis of a complex simulation model for mosquito population dynamics, dengue transmission, and their control.

3. A reaction-diffusion malaria model with incubation period in the vector population.

4. Global properties of vector-host disease models with time delays.

5. A periodic disease transmission model with asymptomatic carriage and latency periods.

6. An almost periodic Ross-Macdonald model with structured vector population in a patchy environment.

7. Delayed action insecticides and their role in mosquito and malaria control.

8. Differential impact of sickle cell trait on symptomatic and asymptomatic malaria.

9. On avian influenza epidemic models with time delay.

10. Modeling the human infectious reservoir for malaria control: does heterogeneity matter?